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The exhaustive list of topics in Numerical Methods for Partial Differential Equations in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Laplace and Poisson equation
  • Heat equation
  • Transport equation
  • Wave equation
  • Poisson equation
  • Elliptic equations and errors
  • Stability
  • Lax equivalence theorem
  • Spectral methods
  • Spectral methods
  • Elliptic equations and linear systems
  • Sparse linear systems
    • Multigrid
    • Krylov methods
  • Differential equations
  • ODE and von Neumann stability
  • Advection equation and modified equation
  • Advection equation and ENO/WENO
  • Conservation laws
    • Theory
    • Numerical methods
    • High resolution methods
  • Operator splitting
  • Fractional steps
  • IVP
  • Wave equation
  • Leapfrog
  • Staggered grids
  • Level set method
  • Navier-Stokes equation
    • Finite difference methods
    • Pseudospectral methods